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Finding the Fourth Proportional to 3,919.46, 5,878.83 and 1,322.42

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Solution

The fourth proportional to 3,919.46, 5,878.83 and 1,322.42 is: 1,983.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.46 : 5,878.83 = 1,322.42 : x
  2. Step 2: Convert to fraction form
    3,919.46/5,878.83 = 1,322.42/x
  3. Step 3: Cross multiply
    3,919.46x = 5,878.83 × 1,322.42
  4. Step 4: Simplify right side
    3,919.46x = 7,774,282.37
  5. Step 5: Solve for x
    x = 7,774,282.37/3,919.46
  6. Step 6: Final answer
    x = 1,983.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.